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If the coefficient of x2 and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots. - Mathematics

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MCQ
True or False

If the coefficient of x2 and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

Options

  • True

  • False

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Solution

This statement is True.

Explanation:

Because in this case discriminant is always negative.

For example, in ax2+ bx + c = 0, as b = 0

And a and c have same sign then ac > 0

⇒ Discriminant = b2 – 4ac = – 4 a c < 0

Concept: Nature of Roots
  Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 2.(vi) | Page 38
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